18 search results - page 2 / 4 » Injective colorings of sparse graphs |
STOC
2002
ACM
14 years 5 months ago
2002
ACM
We analyze a randomized version of the Brelaz heuristic on sparse random graphs. We prove that almost all graphs with average degree dp4:03; i.e., G?n; p ? d=n?; are 3-colorable a...
MST
2010
13 years 3 months ago
2010
Coloring a k-colorable graph using k colors (k ≥ 3) is a notoriously hard problem. Considering average case analysis allows for better results. In this work we consider the unif...
DM
2010
13 years 5 months ago
2010
COMBINATORICS
2002
13 years 5 months ago
2002
SIAMDM
2010
13 years 3 months ago
2010
For a graph G = (V, E) we consider vertex-k-labellings f : V → {1, 2, . . . , k} for which the induced edge weighting w : E → {2, 3, . . . , 2k} with w(uv) = f(u) + f(v) is inj...